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The positivity of relative entropy for spatial subsystems in a holographic CFT implies the positivity of certain quantities in the dual gravitational theory. In this note, we consider CFT subsystems whose boundaries lie on the lightcone of…

高能物理 - 理论 · 物理学 2018-07-04 Dominik Neuenfeld , Krishan Saraswat , Mark Van Raamsdonk

In this note, we establish the 2-D Quantum Inequalities - first proved by Flanagan - for all CFTs with a causal holographic dual. Following the treatment of Kelly \& Wall, we establish that the Boundary Causality Condition in an asymptotic…

广义相对论与量子宇宙学 · 物理学 2016-05-20 Adam R. Levine

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

高能物理 - 理论 · 物理学 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

We investigate holographic Krylov complexity in fully top-down AdS$_3$ and AdS$_2$ supergravity backgrounds dual to two-dimensional linear-quiver SCFTs and one-dimensional conformal quantum mechanics. In these geometries, the warp factors,…

高能物理 - 理论 · 物理学 2025-12-18 Ali Fatemiabhari , Horatiu Nastase , Carlos Nunez , Dibakar Roychowdhury

We point out that some works on higher-derivative corrections in the AdS/CFT duality use inappropriate "AdS/CFT dictionary." We illustrate the problem using a class of holographic superconductors in the Gauss-Bonnet black hole background.…

高能物理 - 理论 · 物理学 2026-05-18 Makoto Natsuume

The Learning with Errors (LWE) problem underlies modern lattice-based cryptography and is assumed to be quantum hard. Recent results show that estimating entanglement entropy is as hard as LWE, creating tension with quantum gravity and…

量子物理 · 物理学 2025-10-20 Yunfei Wang , Xin Jin , Junyu Liu

We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying the null energy condition and having two asymptotically AdS boundaries connected through a (non-traversable) inflating wormhole. As for other wormholes, it is…

高能物理 - 理论 · 物理学 2016-01-20 Sebastian Fischetti , Donald Marolf , Aron C. Wall

Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of $\mathrm{AdS}_3/\mathrm{CFT}_2$. We find that, given…

高能物理 - 理论 · 物理学 2020-12-30 ChunJun Cao , Xiao-Liang Qi , Brian Swingle , Eugene Tang

We derive a simple formula for the action of any supersymmetric solution to minimal gauged supergravity in the AdS$_4$/CFT$_3$ correspondence. Such solutions are equipped with a supersymmetric Killing vector, and we show that the…

高能物理 - 理论 · 物理学 2019-11-05 Pietro Benetti Genolini , Juan Manuel Pérez Ipiña , James Sparks

In the AdS/CFT correspondence, it is often convenient to regulate infinite quantities in asymptotically anti-de Sitter spacetimes by introducing a sharp cutoff in a radial coordinate. This procedure is a priori coordinate-dependent, and may…

高能物理 - 理论 · 物理学 2019-10-18 Jonathan Sorce

We develop a holographic framework for describing the experience of bulk observers in AdS/CFT, that allows us to compute the proper time and energy distribution measured along any bulk worldline. Our method is formulated directly in the CFT…

高能物理 - 理论 · 物理学 2021-09-01 Daniel Louis Jafferis , Lampros Lamprou

The problem of how the boundary encodes the bulk in AdS/CFT is still a subject of study today. One of the major issues that needs more elucidation is the problem of subregion duality; what information of the bulk a given boundary subregion…

高能物理 - 理论 · 物理学 2017-01-31 Jung-Wook Kim

We consider the $\mathcal{N}=(2,2)$ AdS$_3$/CFT$_2$ dualities proposed by Eberhardt, where the bulk geometry is AdS$_3\times(S^3\times T^4)/\mathbb{Z}_k$, and the CFT is a deformation of the symmetric orbifold of the supersymmetric sigma…

高能物理 - 理论 · 物理学 2023-12-29 Arash Arabi Ardehali , Hare Krishna

We examine the five-region holographic entropy cone inequalities for the special case of the AdS$_3$-Vaidya metric for a variety of boundary configurations. This is done by numerically solving the geodesic equation in the bulk for various…

高能物理 - 理论 · 物理学 2020-01-15 Reginald J. Caginalp

In this paper we review the AdS/BCFT proposal of T. Takayanagi for holographic description of systems with boundaries, in particular, boundary conformal field theories (BCFTs). Motivated by better understanding of the proposed duality we…

高能物理 - 理论 · 物理学 2019-12-11 Arthur G. Cavalcanti , Dmitry Melnikov , Madson R. O. Silva

The entanglement entropy in $d+1$ dimensional conformal field theories can be calculated using the area of $d$ dimensional minimal surfaces in $AdS_{d+2}$. Therefore, the existence of surfaces anchored in the boundary of an asymptotically…

高能物理 - 理论 · 物理学 2026-04-10 Oscar Lasso Andino , Axel León-Arteaga , Guillermo Ramírez-Ulloa

We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small…

高能物理 - 理论 · 物理学 2011-10-11 A. Liam Fitzpatrick , Emanuel Katz , David Poland , David Simmons-Duffin

The entanglement wedge cross section in holographic picture provides a geometrical description of the entanglement for mixed states. In this paper we study the inequalities for the entanglement wedge cross section in AdS/BCFT duality. In…

高能物理 - 理论 · 物理学 2022-11-03 Pan Li , Yi Ling

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

高能物理 - 理论 · 物理学 2023-09-07 Raphael Bousso , Geoff Penington

We expand the results of arXiv:1105.5165, where a holographic description of a conformal field theory defined on a manifold with boundaries (so called BCFT) was proposed, based on AdS/CFT. We construct gravity duals of conformal field…

高能物理 - 理论 · 物理学 2011-11-18 Mitsutoshi Fujita , Tadashi Takayanagi , Erik Tonni
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